How do you write #5x^(4/9)# in radical form?

1 Answer
Apr 27, 2017

See the solution process below:

Explanation:

First, we can use this rule of exponents to rewrite the expression:

#x^(color(red)(a) xx color(blue)(b)) = (x^color(red)(a))^color(blue)(b)#

#5x^(4/9) = 5x^(color(red)(4) xx color(blue)(1/9)) = 5(x^color(red)(4))^color(blue)(1/9)#

Now, we can use this rule of exponents to rewrite this expression in radical form:

#x^(1/color(red)(n)) = root(color(red)(n))(x)#

#5(x^4)^(1/color(red)(9)) = 5root(color(red)(9))(x^4)#